Calculating Profit and Profit Percentage
The problem asks us to find the profit and profit percentage for a television sale.
Given Data:
- Cost Price (CP) = ₹ 15,400
- Selling Price (SP) = ₹ 18,060
Step 1: Calculate Profit
Profit is the difference between the selling price and the cost price.
Formula: \( \text{Profit} = \text{SP} - \text{CP} \)
Calculation:
\( \text{Profit} = ₹ 18,060 - ₹ 15,400 \)
\( \text{Profit} = ₹ 2,660 \)
Step 2: Calculate Profit Percentage
Profit percentage is calculated based on the cost price.
Formula: \( \text{Profit \%} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100 \)
Calculation:
\( \text{Profit \%} = \left( \frac{₹ 2,660}{₹ 15,400} \right) \times 100 \)
\( \text{Profit \%} = \left( \frac{2660}{15400} \right) \times 100 \)
\( \text{Profit \%} = \left( \frac{266}{1540} \right) \times 100 \)
\( \text{Profit \%} = \left( \frac{19}{110} \right) \times 100 \)
\( \text{Profit \%} = \frac{1900}{110} \)
\( \text{Profit \%} \approx 17.27\% \)
Conclusion:
The profit is ₹ 2,660 and the profit percentage is approximately 17.27%.
Important Questions from Profit and Loss
By selling an article for Rs. 2,200, a profit of 10% is earned. If the same article is sold for Rs. 2,600, then what will be the gain percentage?
By selling an article for Rs. 640, a person loses 15% of its selling price. At what price (in Rs.) should he sell it to gain 15% on its cost price?
The selling prices of articles A and B are the same. A is sold at a profit of 28 percent and B is sold at a loss of 24 percent. If the total selling price of the both articles is Rs. 48640, then what is the cost price of A and B, respectively ?
The cost price of an article is Rs. 2800. Profit as a percentage of selling price is 20 percent. What is the actual profit (in Rs.) ?
A trader bought 640 kg of rice. He sold a part of rice at 20% profit and the rest at 5% loss. He earned a profit of 15% in the entire transaction. What is the quantity (in kg) of rice that he sold at 5% loss?
